# kf-liu/the-art-of-linear-algebra-zh-cn **Attribution required: if you use, quote, or summarise this content, you must credit and link back to [awesome-repositories.com](https://awesome-repositories.com/repository/kf-liu-the-art-of-linear-algebra-zh-cn).** 5,406 stars · 523 forks · PostScript · cc0-1.0 · fork ## Links - GitHub: https://github.com/kf-liu/The-Art-of-Linear-Algebra-zh-CN - awesome-repositories: https://awesome-repositories.com/repository/kf-liu-the-art-of-linear-algebra-zh-cn.md ## Topics `graphics` `linear-algebra` ## Description This repository is a Chinese translation of *The Art of Linear Algebra*, a visual educational resource that makes abstract linear algebra concepts concrete through clear graphical diagrams. Its core approach replaces symbolic derivations with intuitive illustrations of vector and matrix operations, matrix factorizations, and eigenvalue properties, helping learners see how matrices work from multiple perspectives. The guide distinguishes itself by teaching matrix factorizations—such as LU, QR, eigenvalue decomposition, and singular value decomposition—through a family of decomposition techniques presented in comparative diagrams. It introduces a dot-product and linear-combination dual view for multiplication, maps eigenvalue properties directly to factorizations, and shows each matrix through four simultaneous representations to build a deeper intuition for linear transformations. Beyond its core visual pedagogy, the resource also explains matrix types and their interconnections, illustrates stepwise multiplication sequences, and provides a comprehensive diagram of the “matrix world” for comparative learning. This Chinese edition covers the same diagrammatic approach as the original, offering a practical reference for anyone learning or reviewing linear algebra visually. ## Tags ### Part of an Awesome List - [Linear Algebra](https://awesome-repositories.com/f/awesome-lists/learning/linear-algebra.md) — Explains matrix factorizations and eigenvalue concepts using intuitive diagrams for learners. ([source](https://github.com/kf-liu/The-Art-of-Linear-Algebra-zh-CN#readme)) - [Visual Guides](https://awesome-repositories.com/f/awesome-lists/learning/linear-algebra/visual-guides.md) — Provides a full visual guide with four matrix views, eigenvalue mappings, and factorization diagrams. ### Data & Databases - [Conceptual Matrix Illustrations](https://awesome-repositories.com/f/data-databases/data-analysis-visualization/visualization-frameworks-libraries/data-visualization/matrix-visualization-tools/conceptual-matrix-illustrations.md) — Provides clear visual diagrams for dot products, linear combinations, and matrix-matrix multiplications. - [Theoretical Matrix Visualizations](https://awesome-repositories.com/f/data-databases/data-analysis-visualization/visualization-frameworks-libraries/data-visualization/matrix-visualization-tools/theoretical-matrix-visualizations.md) — Replaces symbolic derivations with intuitive visual diagrams for explaining linear algebra concepts. - [Four-Form Structure Visualizations](https://awesome-repositories.com/f/data-databases/data-analysis-visualization/visualization-frameworks-libraries/data-visualization/matrix-visualization-tools/theoretical-matrix-visualizations/four-form-structure-visualizations.md) — Show a matrix in four representations to build intuition about its structure. ([source](https://github.com/kf-liu/The-Art-of-Linear-Algebra-zh-CN/blob/main/The-Art-of-Linear-Algebra-zh-CN.tex)) ### Education & Learning Resources - [Linear Algebra Resources](https://awesome-repositories.com/f/education-learning-resources/educational-resources/algorithms-theory-academics/academic-curricula-resources/linear-algebra-resources.md) — Provides a visual guide with four matrix views and eigenvalue mappings for simplified learning. - [Matrix Factorization Visualizations](https://awesome-repositories.com/f/education-learning-resources/matrix-factorization-visualizations.md) — Features visual diagrams for LU, QR, eigenvalue, and singular value decompositions. ### Scientific & Mathematical Computing - [Eigenvalue Concept Visualizations](https://awesome-repositories.com/f/scientific-mathematical-computing/eigenvalue-computations/eigenvalue-concept-visualizations.md) — Provides visual maps linking eigenvalue properties to factorizations, the core pedagogical approach of this resource. - [Multiplication Visualization Diagrams](https://awesome-repositories.com/f/scientific-mathematical-computing/high-performance-execution-environments/scientific-computing-platforms/scientific-computing/matrix-operations/matrix-vector-products/multiplication-visualization-diagrams.md) — Illustrates dot product, outer product, and matrix multiplications using graphical diagrams. ([source](https://github.com/kf-liu/The-Art-of-Linear-Algebra-zh-CN/blob/main/The-Art-of-Linear-Algebra.tex)) - [Operation Visualization Diagrams](https://awesome-repositories.com/f/scientific-mathematical-computing/high-performance-execution-environments/scientific-computing-platforms/scientific-computing/matrix-operations/matrix-vector-products/operation-visualization-diagrams.md) — Illustrates dot products, outer products, and matrix-vector multiplications with clear visual diagrams. - [Matrix Factorization Toolkits](https://awesome-repositories.com/f/scientific-mathematical-computing/matrix-factorization-toolkits.md) — Explains LU, QR, eigenvalue, and singular value decompositions using clear visual depictions. ([source](https://github.com/kf-liu/The-Art-of-Linear-Algebra-zh-CN/blob/main/The-Art-of-Linear-Algebra.tex)) - [Dual-View Operation Illustrations](https://awesome-repositories.com/f/scientific-mathematical-computing/vector-dot-product-kernels/dual-view-operation-illustrations.md) — Introduces the dual dot-product and linear-combination view that is fundamental to this visual guide's teaching approach. - [Operation Visualization Diagrams](https://awesome-repositories.com/f/scientific-mathematical-computing/vector-operations/operation-visualization-diagrams.md) — Shows vector and matrix multiplication through visual dot product and linear combination diagrams. ([source](https://github.com/kf-liu/The-Art-of-Linear-Algebra-zh-CN/blob/main/The-Art-of-Linear-Algebra-zh-CN.tex)) - [Multi-Representation Matrix Explanations](https://awesome-repositories.com/f/scientific-mathematical-computing/matrix-decompositions/multi-representation-matrix-explanations.md) — Teaches matrix understanding through four simultaneous visual representations, a distinctive feature of this resource. - [Factorization Taxonomy Diagrams](https://awesome-repositories.com/f/scientific-mathematical-computing/matrix-factorization-toolkits/factorization-taxonomy-diagrams.md) — Helps learners understand relationships between matrix factorizations through comparative diagrams.